The interaction between the exited semiconductor medium with the induced magnetic field is investigated. The medium is taken during a micro-temperature process in hydrostatic initial stresses. The problem is studied when the thermal conductivity is variable that depends on the temperature (which can be taken in a linear form of temperature). The main quantities are obtained in the context of the photo-thermoelasticity theory when the medium is in a rotator case. The two dimensions (2D) deformation equations are obtained during the thermo-elastic-plasma transport processes. The governing equations can be investigated under the integral transformations of Fourier and Laplace with the impact of the microelements vector. The basic analytical solutions of the physical quantities in this phenomenon are obtained under transformations in the physical domain. The thermal ramp type (heating type) is used with some other mechanical-plasma conditions which they can be applied at the free external surface. To obtain the main solutions of basic quantities in the space-time domain, some inversion methods of Fourier and Laplace transformations are applied numerically. Many comparisons between several parameters are made numerically and they are shown graphically and discussed.